60
DOC.
1
MECHANICS
LECTURE
NOTES
Xj
=
x2
cos cot
-
y2
sin
cot
dx,
dx2 dy2
... .
-ri
=
-^-cos
j^sin +
y(
-x2sin
-
,y2cos)
dt dt dt
!
=
x2sinftf
+
y2
cos
cot
dy,
dx2
dy2
,
=
-r-
COS
+
-J-
sin.
dt dt dt
+
co(x2
cos
-
y2
sin)
d2xt
_
d2x
d2y2
.
dx2
s^n
__
^Xlcos
)
+ co2{-X2cos
+
y2s^n)
dt2 dt2
cos
+
dt
sin
+
2co
I
- dt dt
cos
d2yt
dt2
=
sin cos cos
-
sin
-
sin -cos sin
m|
\d2
dt2
*
_
2w$i
-
ot'x.
dt
-
X
d
y?
"
dx2
m\-j-2- + 2co^~
o2y2 =
Y,
dt2
dt
\d2z2
m{dF =
Z
Setzen wir
X2
+
co2x2
= X'2
etc.
so
ist
dx
m
^_A-;
+
2m«4
dt2 2
dt dt
dx
m
d2y2
=
Y'
-
2
mco
4
dy
dt2
dt dt
d2z2
dz
m
=
z;
+
o
dt2
dt
Interpretieren Zusatzkr[äfte]
In
||
In xY
Ebene,
also J.
zu co.
J.
zu
Geschwindigk.
-
2m
"dt-»
dz
dy
cox =
-cocos
cp dt
dz
dy
co2--co
COy
=
0
xdt
dz
dy
dt
coz
=
+
co
sin
cp